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Purple cow dashes home for the Tower of Hanoi Letterbox Hybrid

Hidden : 1/26/2024
Difficulty:
4.5 out of 5
Terrain:
4.5 out of 5

Size: Size:   other (other)

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Geocache Description:


**There is nothing at the posted coordinates. This is is a letterbox cache based on 2 puzzles, solve the puzzles to find the final coordinates. The letterbox stamp needs to stay inside the container.**

The purple cow has yet more puzzles for you on its way home. They're themed after the 'Tower of Hanoi'.
The rules to the 'Tower of Hanoi' are pretty simple: 
The typical goal is to move all the discs to the peg C (on the right) and stack them according to the original order, biggest at the bottom and smallest at the top. This is trivial for one or two discs, but takes about double the number of moves for each disc you add. Just 20 discs and it already takes a minimum of 1,048,575 moves to reach the goal. There are three rules:

  1. Only the topmost disc on a pile can be moved each time. (one at a time)
  2. A larger disc cannot be placed on top of a smaller disc. (Bigger numbers on the bottom)
  3. And lastly, other than the disc you are moving, they must all remain on the 3 pegs. (so you can't just pour them onto the table, and rearrange in one step)

For these puzzles, you'll start somewhere along the journey toward the goal. At any one time the most moves you could possible make is 6, moving a disc from any of the 3 pegs to either of the 2 other pegs. For both the north coordinate puzzle, and the west puzzle, each of those 6 moves you could make represents a number in the missing coordinate digits. Track the correct moves, heading from the game state shown toward the goal and you'll have your digits.

North coordinate.

The north coordinate is N AB° CD.5E0'. To find the numbers for ABCDE, try and go from the first game state...

...to this game state: (it is the quickest way to the goal of the tower on the right peg)

Here is your number guide for the north puzzle:

 

 

The West coordinate is W 112° FG.HIJ'. Good luck with FGHIJ, you start here:

Use this number guide for the West puzzle:

 

You can validate your puzzle solution with certitude.

Additional Hints (Decrypt)

Jr unir crezvffvba gb pyvzo gur gerr ng gur svany naq unir gur trbpnpur urer, ohg vg'f n ohfl nern naq zhttyrf fcbggvat lbh zvtug tvir lbh tevrs. Erpbzzraqrq ng avtug be orsber qnja.

Decryption Key

A|B|C|D|E|F|G|H|I|J|K|L|M
-------------------------
N|O|P|Q|R|S|T|U|V|W|X|Y|Z

(letter above equals below, and vice versa)